120240109780992 has 640 divisors, whose sum is σ = 383454314496000. Its totient is φ = 37099457740800.

The previous prime is 120240109780939. The next prime is 120240109781017. The reversal of 120240109780992 is 299087901042021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14679535617 + ... + 14679543807.

It is an arithmetic number, because the mean of its divisors is an integer number (599147366400).

Almost surely, 2^{120240109780992} is an apocalyptic number.

120240109780992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120240109780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191727157248000).

120240109780992 is an abundant number, since it is smaller than the sum of its proper divisors (263214204715008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120240109780992 is an frugal number, since it uses more digits than its factorization.

120240109780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 120240109780992 in words is "one hundred twenty trillion, two hundred forty billion, one hundred nine million, seven hundred eighty thousand, nine hundred ninety-two".